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Finding the Fourth Proportional to 104,778, 157,195.80 and 30,906

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Solution

The fourth proportional to 104,778, 157,195.80 and 30,906 is: 46,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,778 : 157,195.80 = 30,906 : x
  2. Step 2: Convert to fraction form
    104,778/157,195.80 = 30,906/x
  3. Step 3: Cross multiply
    104,778x = 157,195.80 × 30,906
  4. Step 4: Simplify right side
    104,778x = 4,858,293,394.80
  5. Step 5: Solve for x
    x = 4,858,293,394.80/104,778
  6. Step 6: Final answer
    x = 46,367.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.